Problems 61-70 refer to the following transition matrix
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- Next question Dem. Rep. In a certain town, the proportions of voters voting Democratic and Republican by various age groups is summarized by matrix A, and the population of voters in the town by age group is given by matrix B. 0.28 0.72 Under 30 0.78 0.22 | = A 30-50 Over 50 0.35 0.65 Interpret the entries of the matrix product BA. | 1000 7000 6000 B = Under 30 30-50 Over 50 In the matrix BA, the first entry means that there are voters and the second entry means that there are votersarrow_forwardSECTION I: MATRIX OPERATIONS [2 -1 1.5 A = 2.75 1 -1 -3 -0.5 4 0.25 0.1 0.2 -15.2 0.6 D = 0.05 [sym. 7 2 -10 0 0.25 0 1 1 E = -15.575 1.975 2 1.4 -0.9 1.075 1.2 5.9 1. Find the TRANSPOSE of B. Name it, "Matrix F". 2. Find the PRODUCT of Matrices A and F. Name it, "Matrix G". 3. Matrix D is symmetric. Find the SUM of Matrices G and D. Name it, "Matrix H". 4. Find the DIFFERENCE between Matrices H and E. That is: [H] - [E]. Name it, "Matrix I". 5. AUGMENT Matrix C with Matrix I. Write them in both in MATRIX AND EQUATION FORM. Remember: Ax=B, or in this case, Ix=C. Use the variables: w, x, y and z when writing them in equation form. 6. Using the formula discussed in class, determine if Matrix is DIAGONALLY DOMINANT. If yes, proceed to section 2. If not, rearrange Matrix I so that it becomes diagonally dominant. Since we have previously augmented matrix I with C, rewrite the system of linear equations (just as with Item 5) with the CORRESPONDING rows from matrix C both in MATRIX AND…arrow_forwardCan someone please help me with these questions. I am having so much trouble. The questions had to be in separate pictures.arrow_forward
- The number of non-zero entries in the adjacency matrix of the given graph is _____ a. 16 b. 10 c. 6 d. 4arrow_forwardReduce the following matrix to its r.r.e.f. 0 -3 -6 4. 6. 3. -1 1 -2 -1 -2 3. 3. 5-9-7 -1 1 4.arrow_forwardOc. O D. The given matrix A not a transition matrix, so there is no diagram. Barrow_forward
- 6. Q.1: If matrix A =| Find a formula for Ak %3D 2 3arrow_forward*Use the following scenario for questions 5-8. Jennie and her friends go off campus everyday for lunch; they choose between three restaurants each day to go to: Cook-out, McDonald's, and Taco Bell. They never go to the same restaurant two days in a row. Below is the given transition matrix: LA 23 yesterday? A. 0.50 24 Monday? A. 0.00 25 A. 0.31 26 W www PROCURA A. Taco Bell B. 0.40 B. What is the probability that Jennie and her friends choose to go to Cook-out when they went to McDonald's 0.27 CMT COSA B. 0.32 C. 0.60 What is the probability that Jennie and her friends will go to Taco Bell on Thursday after they went to Taco Bell on B. Cook-out CMT 0.3 7 C. 0.58 .5 0.5 0 4 C. 0.37 In the long run, what percentage of the time does Jennie and her friends visit McDonald's? D. 0.30 Which restaurant does Jennie and friends frequent the most? C. McDonald's D. 0.42 D. 0.90 D. None of these restaurants Sign ouarrow_forwardGiven the input coefficient matrix for a hypothetical economy made up of only two industries as A =0.1 0. 3 0. 5 0.2. Provide an economic explanation for each of the elements in Aarrow_forward
- 1. Given the input-coefficient matrix for a hypothetical [0.1 0.5] A = economy made up of only two (2) industries as provide an economic interpretation for each of the elements in matrix A. 0.3 0.2arrow_forwardQuestion 3 The owner decides he wants to employ only new trainee staff. He also wants only new trainee staff who are siblings of his permanent staff. He believes that each month, 5% of his permanent staff would have a sibling who would be suitable to start as a trainee staff member. His staffing model would therefore be defined by the rule S, = 75, + FS,, and the matrix S, giving the number of staff at the end of the first month in January 2013 would therefore be defined as S-75, + FS, where 0 0 0 0 0 0 0.05 0 0 0 0 o 0 0 0 o 0 0 0 10 0.8 0 0 0 T = O 09 0.7 0 20 and F= 60 0.2 0.1 03 1 where the matrices T and 5, are the same matrices as used in Question 2. How many new trainee staff would be added in January 2013 according to this model? How many probationary staff members will there be at the end of the second month in 2013 according to this model? Express your answer to the nearest whole number.arrow_forwardA risk threshold indicates: O a. Risks below the threshold can be removed from the matrix as they should be of no concern. O b. Risks above the threshold fall within the organization's level of risk tolerance. Oc. The risks that fall highest in relation to the threshold should be considered first. d. All of the above Clear my choicearrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning